Answer:
The quadratic function is: [tex](x-2)(x-12)=0[/tex] and can be written as: [tex]x^2-14x+24=0[/tex]
Step-by-step explanation:
A quadratic function can typically be written in multiple forms, among which includes: (x-a)*(x-b)=0 where a, b can be any number
This quadratic function is solved for a and b, which represents the zeroes (or can be called roots) of the equation.
Given that the zeroes are already given, all that's need to write the quadratic function is to substitute a and b with the given zeroes:
Note: It doesn't matter which zeroes are substituted for a and b
(x-a)*(x-b)=0
(x-2)*(x-12)=0
Now, we can leave it in this form or expand the equation (often called the FOIL method):
(x-2)*(x-12)=0 Multiply each term with the other terms
[tex]x^2-2x-12x+24=0[/tex] Simplify by combining like terms
[tex]x^2-14x+24=0[/tex]
Thus, the quadratic function for zeroes 12 and 2 is: [tex]x^2-14x+24=0[/tex]
PLEASE HELP!
A camper is flying a kite at the end of a string 250 feet long. If they look up to
the kite at an angle of 43 degrees, what is the approximate height of the kite? (Round
your answer to the nearest foot.).
hypotenuse is 250 feet.
base angle is 43 degrees.
trignometery here I come!
Since we must find the height, aka adjacent side of right triangle, and we have the given hypotenuse
We shall use the sine!
sinθ is sin43
sin43 = A/H = x/250
multiply both sides by 250
250 (sin43) = x
DEGREE MODE on graphing calculator! [because the θ is in degrees mode]
x ≈ 171
Answer: x ≈ 171 feet
PORS and XYZ are straight lines.
PS is parallel to XZ.
Prove that the angle sum of any triangle is 180°
I have no idea
Step-by-step explanationI have no idea
What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
Answer:
(-2, -3)
Step-by-step explanation:
solutions are all the points where the line intersects
Henry received 7/8 of the vote in the election for captain of the baseball team. What percent of the vote did he receive?
Answer:87.5%
Step-by-step explanation:
Given
Henry received [tex]\frac{7}{8}[/tex] of the votes in the election
i.e. 7 parts of votes are in favor of Henry out of 8
In terms of percentage, it is given by
[tex]\Rightarrow \dfrac{7}{8}\times 100=87.5\%[/tex]
The perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4
Answer:
Step-by-step explanation:
Equation
2x + 2 + 3x - 1 + x +4 = 29 Collect like terms on the left
6x + 5 = 29 Subtract 5 from both sides
6x = 29 - 5
6x = 24 Divide by 6
x = 24/6
x = 4
Length of the Sides.
2x + 2 = 2*4+2 = 10
3x - 1 = 3*4 - 1 = 12 - 1 = 11
x + 4 = 4 + 4 = 8
Type of Triangle
Scalene.
Simplify the expression:
[tex]\left(\frac{1}{2}\right)^{2}\cdot\frac{9}{11}+\frac{2}{3}[/tex]
Plz give steps.
Answer:
[tex]\frac{115}{132}[/tex]
Step-by-step explanation:
[tex](\frac{1}{2} )^{2} * \frac{9}{11} + \frac{2}{3}[/tex]
= [tex]\frac{1}{4} * \frac{9}{11} + \frac{2}{3}[/tex]
= [tex]\frac{9}{44} + \frac{2}{3}[/tex]
= [tex]\frac{27 + 88}{3(44)}[/tex]
= [tex]\frac{115}{132}[/tex]
Please help me with this
Solve for x. Round to the nearest tenth.
Answer:
x=10.4
Step-by-step explanation:
tan(60°)=18/x
tan(60°)x=18
x=18/tan(60°)
x=10.4
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
which statement is true
Answer:
c
Step-by-step explanation:
im a math genius
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles
What it the length of the leg
Apr 14, 10:17:07 PM
Find mZKML.
hs
M
Answer: mZKML
O
Answer and Step-by-step explanation:
The answer is 42°.
This is because we are given an Isosceles Triangle. Isosceles Triangles always have 2 legs/sides that are the same length, and because those two sides have the same length, it means their base angles have the same value as well.
So, Since the angles LKM and KML are the base pairs of this Isosceles Triangle, they are equal to each other.
#teamtrees #PAW (Plant And Water)
Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
Write LCM of 35 and 144 (If you are not able to send a picture, then you can write step wise, please do not write a direct answer.)
Answer:
5040Step-by-step explanation:
multiply 35 by 144 which will give you your answer (lcm)Simplify fully 8x/12x2y
Answer:
2/3xy.
Step-by-step explanation:
8x/12x^2y
The 8 and 12 simplify to 2/3 and x and x^2 simplify to 1/x so we have:
= 2/3xy.
Running at a constant rate, Miguel ran 12 miles in a time of 120 minutes. How many minutes does it take Miguel to run 6 miles?
Answer:
20
Step-by-step explanation:
120/6
Answer:
60 minutes
Step-by-step explanation:
First, lets write the problem into an equation
12 miles/120 minutes = 6 miles/x minutes
Then, we solve
12/120 = 6/x
12x = 720
x = 60
Therefore, your answer is 60 minutes
PLEASE HELP 2 QUESTIONS! - YOU WILL GET 20 POINTS - MULTIPLE CHOICE - YOU WILL GET BRAINLIST - MATH
Answer:
choice 1) corresponding angles
choice 1) vertical angles
Step-by-step explanation:
Answer:
On the first one, angles 1 and 5 are corresponding angles and on the second one, angles 2 and 3 are vertical angles.
Step-by-step explanation:
brainliest
Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.
Answer:
A. x =2
Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16
Distribute
Add the numbers
Add 8 to both sides of the equation
Simplify
Add 12x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify -------> x=2
I will mark you brainlist!
A. 24.12
B. 50.24
C. 58.14
D. 96.02
The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1).
What is the scale factor of the dilation?
18
14
4
8
Answer:
just 4 I think
Step-by-step explanation:
the bottom of the bigger triangle is 8 and the little one is 2
8÷2= 4
Answer: just took the test. the answer is 4!
Step-by-step explanation:
need help thanks! :D
Answer:
2nd
Step-by-step explanation:
If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
Answer:
Part a) 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week
60x60=3600 x 24= 86400 x 7= 604800
So 604,800 seconds in a week
Part b) James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
So 3 x 1= $3
+ $2
2 x 2= $4
3+2+4= $9
10-9= $1
So they'll get back $1
find: P (large or blue)
Answer:
Blue: DDD
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
;)
NEED HELP ASAP
A ticket broker is selling seats to a rock concert. If the broker's commission is a $5.00 base fee and $0.50 extra for every ticket (t), the total cost for the broker's services is calculated by the expression below.
$0.50t + $5.00
How much does the broker earn by selling 12 tickets?
$5.50
$10.50
$11.00
$15.50
Answer:
11.00
Step-by-step explanation:
"T" is the number of tickets sold so take 0.50*12 and you would get 6.00
then take 6+5=11, then 11 is the answer
Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =Rºh (use 3.14.as an approximation for 7). What is the radius of these cylinders?
Answer:
Radius is 1 unitStep-by-step explanation:
The relationship is:
V = πr²hWe have points on the graph:
(9, 28.26) and (18, 56.52)Use one of the points, substitute into equation and solve for r:
28.26 = 3.14*9*r²r² = 28.26/28.26r² = 1r = 1During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Luis has some nickels, dimes, and quarters. The value of all of the coins, in cents, is represented with the expression shown.
5(2 + 2) + 10x + 25 (3x + 1)
Which part of the expression represents the number of quarters that Luis has?
A. x+2
B. 10x
C. 3x+1
D. 25(3x+1)
B.
10.
C
3.2 +1
D.
25 (3x + 1)
Answer:
The part of the expression that represents the number of quarters is;
D. 25·(3·x + 1)
Step-by-step explanation:
From the question, we have;
The values of the coins Luis has = Nickels, Dimes and quarters
The expression that represents the value of all the coins in cents is given as follows;
5(x + 2) + 10·1 + 25·(3·x + 1)
The value of a nickel = 5 cents
The value of a dime = 10 cents
The value of a quarter = 25 cents
Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor
Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).
2x[tex]2x^{2}-3x-5[/tex]
Answer:
2x²-3x-5
=2x²-3x-5
=2x²-5x+2x-5
=2x(x-5)+2(x-5)
=(x-5)(2x+2)
Answer:
(x + 1)(2x - 5)
Step-by-step explanation:
Assuming you require the expression factorised.
2x² - 3x - 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 5 = - 10 and sum = - 3
The factors are + 2 and - 5
Use these factors to split the x- term
2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )
= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x - 5) ← in factored form